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Sinh






Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function > Involving exp > Involving ab zr+d z+e sinh(c z)





http://functions.wolfram.com/01.19.21.0191.01









  


  










Input Form





Integrate[a^(b z^2 + d z + e) Sinh[c z], z] == (1/(4 Sqrt[b] Sqrt[Log[a]])) ((a^(-(d^2/(4 b)) + e) Sqrt[Pi] ((-E^((c d)/b)) Erfi[(-c + (d + 2 b z) Log[a])/ (2 Sqrt[b] Sqrt[Log[a]])] + Erfi[(c + (d + 2 b z) Log[a])/ (2 Sqrt[b] Sqrt[Log[a]])]))/E^((c (c + 2 d Log[a]))/(4 b Log[a])))










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2002-12-18